The standards of parenting at Sooner Haven are not uniformly exacting.
We verify that the approximate solution converges uniformly to the exact solution.
In the results below, we employ the concept of upper and lower solutions to construct two monotone sequences that converge uniformly to the exact solution of problem (1.1 - 1.2 1.1 - 1.2
On the other hand, we utilized the monotone iterative method to construct two monotone sequences of upper and lower solutions which converge uniformly to the exact solution of the problem.
The purposes of this article are: (i) to prove the positivity and uniqueness results for the problem, and (ii) to employ the lower and upper solutions method (see [14]) to construct two monotone sequences which converge uniformly to the exact solution of the problem.
Such series are uniformly convergent to the exact solution.
It is shown that a suitably designed discrete Schwarz method, based on a standard finite difference operator with a uniform mesh on each subdomain, gives numerical approximations which converge in the maximum norm to the exact solution, uniformly with respect to the singular perturbation parameter.
We prove that the approximate solution converges to the exact solution uniformly.
An algebraic method is improved to construct uniformly a series of exact solutions for some nonlinear time-space fractional partial differential equations.
Hence, if (u_{n} ( eta ) to u ( eta )) in the sense of the norm of (W_{2}^{2} [0,T]) as (n toinfty), then the approximate solutions (u_{n} ( eta )) and ({u}'_{n} ( eta )) uniformly converge to the exact solution (u ( eta )) and its derivative ({u}' ( eta )), respectively.
In addition, they prove that, for a K-sparse signal s∈R n and a fixed basis Φ∈Rm×n with atoms selected uniformly at random, the exact reconstruction of s from the measurements y=Φs∈R m (m≪n) is of overwhelming probability, as long as the number of observations obeys m ≥ C ⋅ K ⋅ log n (9).
